The failure times (in hours) of electronic components in a guidance system for a missile have a Weibull distribution with unknown parameters α and β. To derive estimates of these parameters, 1,000 components were placed on life test and every 50 hours the number of components still in operation was recorded. The data are provided in the table.

a. Find estimates of α and β. If you have access to a regression computer package, find 99% confidence intervals for both α and β.

b. Calculate the reliability of the electronic components at t = 200 hours.

c. Find and graph the hazard rate for t = 50, 100, 150, . . . .

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MISSILE Hours 50 100 150 200 250 300 350 Number in 611 362 231 136 84 53 17 Operation